Answer:
37.68
Step-by-step explanation:
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The slopes of two perpendicular lines are negative reciprocals of each other. The slope of the line perpendicular to the one in this question is -3.
9514 1404 393
Answer:
y -1 = -1(x -2)
Step-by-step explanation:
The slope of the line through the two points can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -2) = 4/-4 = -1
The point-slope equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...
y -1 = -1(x -2)
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<em>Additional comment</em>
Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.
Answer:
Step-by-step explanation:
1. Height of the equilateral triangle = a√3/2
8√3/2=4√3=6.9
2. 60 (equilateral triangle means all three sides and angles are equal)
There are a lot of given data, so it would be better to organize them through a Venn diagram. This is a type of visual graph that shows circles respective to their area of designation. The intersection of the circles are the common number of people that applied to both. The Venn diagram for this is shown in the picture. That would be a total of 101 students.
If an initial statement is given such as, '<span>If a student likes science', this is conditional probability. For this problem, you multiply the probability of the students liking science and the probability of students who do not like math. Conditional probability is when 1 of the probabilities is equal to 1 because it's already deemed to happen. The other probability is 22/101, because out of 101 students, 22 are the ones who do not like math.
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Probability = 1 × 22/101
Probability = 21.78%